Asian Research Journal of Mathematics

The Convolution Sums with the Number of Representations of a Positive Integer as Sum of 6 Squares

Aeran Kim *

A Private Mathematics Academy, 1-#406, 23, Maebong 5-gil, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54921, Republic of Korea.

*Author to whom correspondence should be addressed.

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Abstract

For a1, a2, , a6   we dene

and mainly we obtain some convolution sums

and etc.

Keywords: Divisor functions, infinite product sums, convolution sums

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